What is the explicit rule for this geometric sequence? a1=2/3; an=9⋅an−1 an=9⋅(2/3)n an=9⋅(2/3)^n−1 an=23⋅9n an=23⋅9^n−1

The answer is an= 2/3 * 9^n-1

or D

Step-by-step explanation:

The explicit rule is an=a1 * r^n-1

the question tells us that a1 is 2/3, so we plug that into the rule

the question uses the recursive rule ( an=r * an-1) to tell us what r is

r= 9 and a1= 2/3

now lets plug it into our rule

an= 2/3 * 9^n-1

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